Kh. Chung et Rak. Cox, A STOCHASTIC-MODEL OF SUPERSTARDOM - AN APPLICATION OF THE YULE DISTRIBUTION, Review of economics and statistics, 76(4), 1994, pp. 771-775
This study employs a stochastic model developed by G. Udny Yule and He
rbert A. Simon as the probability mechanism underlying the consumer's
choice of artistic products and predicts that artistic outputs will be
concentrated among a few lucky individuals. We find that the probabil
ity distribution implied by the stochastic model provides an excellent
description of the empirical data in the popular music industry, sugg
esting that the stochastic model may represent the process generating
the superstar phenomenon. Because the stochastic model does not requir
e differential talents among individuals, our empirical results suppor
t the notion that the superstar phenomenon could exist among individua
ls with equal talent.